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### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

### For younger learners

### Advanced mathematics

# Secondary Live Problems and Recent Solutions

### Secondary Live Problems

### Add to 200Live

### Tilted SquaresLive

### Cyclic QuadrilateralsLive

### Secondary Students' Solutions

### Factors and Multiples Puzzle

### Shapely Pairs

### Product Sudoku

### Surprising Transformations

### What's That Graph?

### Kite in a Square

### Flipping Twisty Matrices

### Square Pair

### Fix Me or Crush Me

### Whose Line Graph Is it Anyway?

Links to the University of Cambridge website
Links to the NRICH website Home page

Nurturing young mathematicians: teacher webinars

30 April (Primary), 1 May (Secondary)

30 April (Primary), 1 May (Secondary)

Or search by topic

Each time you visit the NRICH site there will be some activities which are 'live'. This means we are inviting students to send us solutions, and we will publish a selection of them, along with each student's name and their school, a few weeks later. If you'd like to know more about what we're looking for, read this short article.

The last day for sending us solutions to these live problems is Monday 29th April 2024.

Age 11 to 14

Challenge Level

By selecting digits for an addition grid, what targets can you make?

Age 11 to 14

Challenge Level

It's easy to work out the areas of most squares that we meet, but what if they were tilted?

Age 11 to 16

Challenge Level

Draw some quadrilaterals on a 9-point circle and work out the angles. Is there a theorem?

Take a look at these recently solved problems.

Age 11 to 14

Challenge Level

Using your knowledge of the properties of numbers, can you fill all the squares on the board?

Age 11 to 14

Challenge Level

A game in which players take it in turns to turn up two cards. If they can draw a triangle which satisfies both properties they win the pair of cards. And a few challenging questions to follow...

Age 11 to 16

Challenge Level

The clues for this Sudoku are the product of the numbers in adjacent squares.

Age 14 to 16

Challenge Level

I took the graph y=4x+7 and performed four transformations. Can you find the order in which I could have carried out the transformations?

Age 14 to 18

Challenge Level

Can you work out which processes are represented by the graphs?

Age 14 to 18

Challenge Level

Can you make sense of the three methods to work out what fraction of the total area is shaded?

Age 14 to 18

Challenge Level

Investigate the transformations of the plane given by the 2 by 2 matrices with entries taking all combinations of values 0, -1 and +1.

Age 14 to 18

Challenge Level

Explore the shape of a square after it is transformed by the action of a matrix.

Age 16 to 18

Challenge Level

Can you make matrices which will fix one lucky vector and crush another to zero?

Age 16 to 18

Challenge Level

Which line graph, equations and physical processes go together?